Determine the missing long leg and hypotenuse of a 30 60 90 triangle

The video tutorial explains how to solve a 30-60-90 triangle problem by finding the long leg and hypotenuse. It starts with the given short leg and uses the properties of the triangle to calculate the other sides. The long leg is found by multiplying the short leg by the square root of 3, and the hypotenuse is found by multiplying the short leg by the square root of 2. The tutorial also covers simplifying the expression for the long leg.

What is the relationship between the short leg and the long leg in a 30-60-90 triangle?

• The long leg is the short leg divided by the square root of 3.

• The long leg is the short leg multiplied by the square root of 3.

• The long leg is the same as the short leg.

• The long leg is twice the short leg.

How do you find the hypotenuse in a 30-60-90 triangle?

• Multiply the short leg by the square root of 2.

• Multiply the long leg by the square root of 2.

• Multiply the short leg by the square root of 3.

• Multiply the long leg by the square root of 3.

What is the simplified form of the expression sqrt(18)?

• 3 * sqrt(2)

• 2 * sqrt(3)

• 3 * sqrt(3)

• 2 * sqrt(2)

In a 30-60-90 triangle, if the short leg is 1, what is the length of the hypotenuse?

• 1

• sqrt(3)

• sqrt(2)

• 2

If the short leg of a 30-60-90 triangle is 2, what is the length of the long leg?

• 3 * sqrt(3)

• 3 * sqrt(2)

• 2 * sqrt(3)

• 2 * sqrt(2)